Pick a home improvement project that interests you and identify at least 3 ways math is important when calculating the materials, labor, and budget needed for that project. Explain why math is important in each case and illustrate your point by using math in some examples.

Choose one topic to write about

Topics:

Home Improvement – Pick a home improvement project that interests you and identify at least 3 ways math is important when calculating the materials, labor, and budget needed for that project. Explain why math is important in each case and illustrate your point by using math in some examples.

Travel and Lodging – Pick a trip that interests you and identify at least 3 ways math is important when planning and budgeting for that trip. Explain why math is important in each case and illustrate your point by using math in some examples.

Saving and Investing – Pick an investment that interests you and identify at least 3 ways math is important when evaluating the costs and potential returns of that investment. Explain why math is important in each case and illustrate your point by using math in some examples.

Sketch the graph of f (x) through 3 periods and calculate the Fourier array of f (x). Write the array on the form without expression like . What converge the Fourier row against when X = 3? Use x = 3 in the Fourier array of f (x) to find an exact value for the sum of the row

Engineer math assignment 5 and 6

Task 1
Find the approximation value of Arcsin (0.5) by using around x = 0. Estimates the error joint in the calculation of arcsin (0.5) by using . Enter an interval that certainly contains Arcsin (0.5).

Task 2
A periodic function f (x) is defined by

a) Sketch the graph of f (x) through 3 periods and calculate the Fourier array of f (x). Write the array on the form without expression like .

b) What converge the Fourier row against when X = 3? Use x = 3 in the Fourier array of f (x) to find an exact value for the sum of the row

Task 3 Given the function by

Let H (x) be the even half-periodic expansion of G (X). a) Write down the formula for H (x) and sketch the graph of h (x) at the interval . Show that the Fourier row of this becomes

c) Use the Fourier series to H (x) in x = 0 and x = 2 to find an exact value for the sum of the rows

Hint: By evaluating FH (x) I x = 0 and x = 2, you get 2 equations with 2 unknown: and As you can solve as a regular linear system.

Problem 4
Given the function by

La k (x) be the odd half-periodic expansion of J (x). Write down the formula for k (x) and sketch the graph of k (x) through 3 periods. How many paragraphs do we have to take from the Fourier series to K (X) to get an average square deviation less than

Note: Every time you use the Laplace transform and get a function in the s-domain, remember to write for which s that function is valid.

Task 1
Determine the Laplace transform of the functions:

e) Rewrite the function using the Heaviside’s function and determine the Laplace transform of the function:

Task 2
Determine the inverse Laplace transform of the functions:

M.C. Escher is an artist famous for his work and also for his usage of mathematics in said art. Explore and provide examples of the types of mathematical patterns and geometric objects M.C. Escher uses in his art. Describe some of the mathematics behind it.

A old school MC

M.C. Escher is an artist famous for his work and also for his usage of mathematics in said art. Explore and provide examples of the types of mathematical patterns and geometric objects M.C. Escher uses in his art. Then describe some of the mathematics behind it.

Pick a home improvement project that interests you and identify at least 3 ways math is important when calculating the materials, labor, and budget needed for that project. Explain why math is important in each case and illustrate your point by using math in some examples.

Choose one topic to write about

Topics:

Home Improvement – Pick a home improvement project that interests you and identify at least 3 ways math is important when calculating the materials, labor, and budget needed for that project. Explain why math is important in each case and illustrate your point by using math in some examples.

Travel and Lodging – Pick a trip that interests you and identify at least 3 ways math is important when planning and budgeting for that trip. Explain why math is important in each case and illustrate your point by using math in some examples.

Saving and Investing – Pick an investment that interests you and identify at least 3 ways math is important when evaluating the costs and potential returns of that investment. Explain why math is important in each case and illustrate your point by using math in some examples.

Pick a home improvement project that interests you and identify at least 3 ways math is important when calculating the materials, labor, and budget needed for that project. Explain why math is important in each case and illustrate your point by using math in some examples.

Choose one topic to write about

Topics:

Home Improvement – Pick a home improvement project that interests you and identify at least 3 ways math is important when calculating the materials, labor, and budget needed for that project. Explain why math is important in each case and illustrate your point by using math in some examples.

Travel and Lodging – Pick a trip that interests you and identify at least 3 ways math is important when planning and budgeting for that trip. Explain why math is important in each case and illustrate your point by using math in some examples.

Saving and Investing – Pick an investment that interests you and identify at least 3 ways math is important when evaluating the costs and potential returns of that investment. Explain why math is important in each case and illustrate your point by using math in some examples.

Which would be the independent variable, and which would be the dependent variable? Without drawing a scatter plot, would you expect a positive, negative or no correlation? Explain. Would you categorize your data to have a strong or weak correlation? Why? What would the r2 value tell you about the data that you selected? What is the equation of the regression line?

Read/review the following resources for this activity:

Textbook: Chapter 12 (All Sections)
Lesson
Minimum of 1 scholarly source
Initial Post Instructions

Medical professionals can find relationships between variables. The more you drink alcohol, the less functionality of your liver. The less carbohydrates a person intakes, the lower their Body Mass Index.

Data can be collected and organized as an ordered pair (x, y). The data can be analyzed to determine the type and strength of a correlation and to calculate a regression line in order to make a prediction.

Use the internet to find a data set of ordered pairs. Key terms to search: Free Public Data Sets and Medical Data Sets.

Create a Post:

Introduce your Data Set and Cite the Source.

Which would be the independent variable, and which would be the dependent variable?
Without drawing a scatter plot, would you expect a positive, negative or no correlation? Explain.
Would you categorize your data to have a strong or weak correlation? Why?
What would the r2 value tell you about the data that you selected?
What is the equation of the regression line?
Use the regression line to make a prediction about the data you collected.

Determining the number of arrangements or ways to select a small number of items is a relatively simple task. Share a detailed example in which you need to use the Basic Counting Rule, permutations, or combinations to find the different ways to arrange or select different objects or people.

Field of mathematics

As we learned in this module, counting goes well beyond learning how to count numbers in the first years of elementary school. In fact, combinatorics is a field of mathematics dedicated solely to the science of counting.

Determining the number of arrangements or ways to select a small number of items is a relatively simple task. With a large number of items, however, the process can become very complicated. For example, think about all the possible combinations of numbers in lottery tickets or all the different seating arrangements at a big event.

For this discussion, complete the following tasks:

Share a detailed example in which you need to use the Basic Counting Rule, permutations, or combinations to find the different ways to arrange or select different objects or people.
Include your calculations to solve this counting problem, and discuss your steps in detail.

Determining the number of arrangements or ways to select a small number of items is a relatively simple task. Share a detailed example in which you need to use the Basic Counting Rule, permutations, or combinations to find the different ways to arrange or select different objects or people.

 

As we learned in this module, counting goes well beyond learning how to count numbers in the first years of elementary school. In fact, combinatorics is a field of mathematics dedicated solely to the science of counting.

Determining the number of arrangements or ways to select a small number of items is a relatively simple task. With a large number of items, however, the process can become very complicated. For example, think about all the possible combinations of numbers in lottery tickets or all the different seating arrangements at a big event.

For this discussion, complete the following tasks:

Share a detailed example in which you need to use the Basic Counting Rule, permutations, or combinations to find the different ways to arrange or select different objects or people.
Include your calculations to solve this counting problem, and discuss your steps in detail.

Who is the target audience? Is there any bias in how the data is presented? If so, how can you tell? Is the data relevant to the target audience? Is it clear what the data is claiming?

Statistics in the media

Interpret and validate statistics presented to the general population via the media. Find an example of statistics in the media. This could be a newspaper article, magazine article, a segment from a news broadcast or a digital news article. Below are some guidelines/questions you may use to structure your paper. Total length should be 1-2 pages, single spaced, of content plus a bibliography in MLA or APA format.

Task:

Write a 1-2 page, single spaced paper analyzing a piece of media using the guidelines below. Your paper should also include a references page and follow proper formatting (your choice of MLA or APA).
Asses the statistics:

Where did the data come from? (Source)
Is the data valid? (Did the source follow proper protocol to get a good sample?)
Has the data been manipulated or misrepresented?
Is there another article that presents the same data differently?
Interpret that data:

Who is the target audience?
Is there any bias in how the data is presented?
If so, how can you tell?
Is the data relevant to the target audience?
Is it clear what the data is claiming?
Validate the date:

Discuss the article
Overall, does the data give an accurate representation of the general population?
Is the article written in a neutral tone?
If not, what could be changed so that the presentation of the data is unbiased?
Is there a better way to reach the target audience?
For example: an online article may not be the best way to reach those in the 60+ age group. Similarly, a news broadcast may not reach parents who are getting their kids ready for school or bed when the broadcast airs.

Who is the target audience? Is there any bias in how the data is presented? If so, how can you tell? Is the data relevant to the target audience? Is it clear what the data is claiming?

Statistics in the media

Interpret and validate statistics presented to the general population via the media. Find an example of statistics in the media. This could be a newspaper article, magazine article, a segment from a news broadcast or a digital news article. Below are some guidelines/questions you may use to structure your paper. Total length should be 1-2 pages, single spaced, of content plus a bibliography in MLA or APA format.

Task:

Write a 1-2 page, single spaced paper analyzing a piece of media using the guidelines below. Your paper should also include a references page and follow proper formatting (your choice of MLA or APA).
Asses the statistics:

Where did the data come from? (Source)
Is the data valid? (Did the source follow proper protocol to get a good sample?)
Has the data been manipulated or misrepresented?
Is there another article that presents the same data differently?
Interpret that data:

Who is the target audience?
Is there any bias in how the data is presented?
If so, how can you tell?
Is the data relevant to the target audience?
Is it clear what the data is claiming?
Validate the date:

Discuss the article
Overall, does the data give an accurate representation of the general population?
Is the article written in a neutral tone?
If not, what could be changed so that the presentation of the data is unbiased?
Is there a better way to reach the target audience?
For example: an online article may not be the best way to reach those in the 60+ age group. Similarly, a news broadcast may not reach parents who are getting their kids ready for school or bed when the broadcast airs.